Note that the LTTMs have been widely used in presenting multiple pole solutions
(cf.[1]}, [2]}, [3]}).
From (REF ) one can find that \(\psi \)  always takes a form
\(\psi =\left( \begin{array}{r} \mathbf {K}_N^{}\,\phi ^{-*} \\\delta \mathbf {K}_N^*\,\phi ^{+*}\end{array}\right).\) 
